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Finding the Fourth Proportional to 509,939.28, 704,004.48 and 388,123.92

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Solution

The fourth proportional to 509,939.28, 704,004.48 and 388,123.92 is: 535,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,939.28 : 704,004.48 = 388,123.92 : x
  2. Step 2: Convert to fraction form
    509,939.28/704,004.48 = 388,123.92/x
  3. Step 3: Cross multiply
    509,939.28x = 704,004.48 × 388,123.92
  4. Step 4: Simplify right side
    509,939.28x = 273,240,978,475.16
  5. Step 5: Solve for x
    x = 273,240,978,475.16/509,939.28
  6. Step 6: Final answer
    x = 535,830.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.